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Show all work. Incomplete answers may receive little or no credit. 1. Briefly explain why the...
6. (25 points) Determine all positive values of p for which the series Lin=2 n(log2 n)...
6. (25 points) Determine all positive values of p for which the series Lin=2 n(log2 n) 2. (15 points) Determine whether the sequence { v3.3.FI converges or not. If it n=1 converges, find the limit. If it diverges, specify whether it diverges to 00, -00, or neither. Is the sequence bounded? Explain. 4n+1 3. (15 points) Determine whether the series Emai gn=1 converges or not. If it converges, find the sum. 4. (10 points) Write 0.1257 as a fraction. 5.(20...
Show all of your work and leave your answers in exact form. For exercises 1 and...
Show all of your work and leave your answers in exact form. For exercises 1 and 2, calculate the first five terms of the sequence of partial sums correct to four decimal places. Does it appear that the series is convergent? (Just make a guess, not proof is necessary. Exercise 1: p. 755,5. Σ Exercise Σοοί(-1)"-1 2. For exercises 3 and 4, determine whether the series is convergent or divergent (make sure to state any theorems that you use). If...
Show all work on separate paper in order to receive full credit. O SKETCH THESE CURVES...
Show all work on separate paper in order to receive full credit. O SKETCH THESE CURVES AND FIND AREA OF THE REGION EN CLOSED BY THEM. y : 2x+2, Y = 15-?, x=-1, x=2 2 FINO THE VOLUME OF THE SOLIO FORMED BY ROTATING THE REGION BOUNDLO BY THESE CURVES ABOUT THE X-AXIS y = 5x , y = 5x ,x20 3 FIND THE LENGTH OF THE LING Y = 4x+3 For -25x = 3 FIND THE SUM OF THIS...
please explain/show all work! Part 11 **All work must be shown to receive credit. Partial credit...
please explain/show all work!
Part 11 **All work must be shown to receive credit. Partial credit will be awarded where appropriate Q8 Write out the general term for the sequence ). 09 (a) By inspection determine the following sequence is strictly increasing or strictly decreasing b) Prove your answer in partla) Q10 Determine the limits of the following sequences given the general term: (b) Q-Inn + 1) - In(n) I) Qe-ne- 11 Determine what the following series converges to using...
just number 8 please and show work thank you Determine whether the series converges or diverges,...
just number 8 please and show work thank you
Determine whether the series converges or diverges, and explain why. If it is a geometric series that converges, find the sum. 1 6) n-3 n=1 MoMo Mo 7) n= 5 ani 8) n+4 an
show all work | 2n-1) 2. Consider the sequence |(n+1)! a) is the sequence monotone increasing...
show all work
| 2n-1) 2. Consider the sequence |(n+1)! a) is the sequence monotone increasing or monotone decreasing or neither? b) Find upper and lower bounds for the sequence. c) Does the sequence converge or diverge? (Explain) 3. Determine if the series converges or diverges. If it converges, find its sum. => [-1-] c) Ë ?j? – 1-1 j? +1
Question 18 For the following questions, you must show all work to receive full credit. Not...
Question 18 For the following questions, you must show all work to receive full credit. Not yet answered Points out of 30.00 1 Vx da (a) Evaluate Jo 1 + x3 P Flag question poo e dx (b) Evaluate the improper integral Jo e2x + 1 er integrat (cº de toi cel Evaluate , * con lo) sin(as) de (c) Evaluate os? (x) sin? (x) dx (d) Evaluate the dx lo (e) Show work to calculate/justify why the following integral...
Determine if the following series converge or diverge, using any of the methods we discussed in class. Be sure and state which test/method you used, and show all relevant steps for full credit. If a s...
Determine if the following series converge or diverge, using any
of the methods we discussed in class. Be sure and state which
test/method you used, and show all relevant steps for full credit.
If a series converges, be sure and state/show if it converges
absolutely or conditionally. Answers without work shown may be
given no credit
2-1 (g) Σ n(ln(n))3
2-1 (g) Σ n(ln(n))3
(5 pts) Consider the series 8 W arctan(n) n6 n=1 (a) For all n > 1,...
(5 pts) Consider the series 8 W arctan(n) n6 n=1 (a) For all n > 1, 0 < arctan(x) < x2 Give the best possible bound. And so 0 < an arctan(n) = <bn n/(2n^6) Since 0 < an <bn, which of the following test should we apply? A. The integral test B. The comparison test. C. The nth term test for divergence D. The ratio test E. The limit comparison test F. The p-series test G. The root test...
6. (25 points) Determine all positive values of p for which the series Lin=2 n(log2 n) 2. (15 points) Determine whether the sequence { v3.3.FI converges or not. If it n=1 converges, find the limit. If it diverges, specify whether it diverges to 00, -00, or neither. Is the sequence bounded? Explain. 4n+1 3. (15 points) Determine whether the series Emai gn=1 converges or not. If it converges, find the sum. 4. (10 points) Write 0.1257 as a fraction. 5.(20...
Show all of your work and leave your answers in exact form. For exercises 1 and 2, calculate the first five terms of the sequence of partial sums correct to four decimal places. Does it appear that the series is convergent? (Just make a guess, not proof is necessary. Exercise 1: p. 755,5. Σ Exercise Σοοί(-1)"-1 2. For exercises 3 and 4, determine whether the series is convergent or divergent (make sure to state any theorems that you use). If...
Show all work on separate paper in order to receive full credit. O SKETCH THESE CURVES AND FIND AREA OF THE REGION EN CLOSED BY THEM. y : 2x+2, Y = 15-?, x=-1, x=2 2 FINO THE VOLUME OF THE SOLIO FORMED BY ROTATING THE REGION BOUNDLO BY THESE CURVES ABOUT THE X-AXIS y = 5x , y = 5x ,x20 3 FIND THE LENGTH OF THE LING Y = 4x+3 For -25x = 3 FIND THE SUM OF THIS...
please explain/show all work!
Part 11 **All work must be shown to receive credit. Partial credit will be awarded where appropriate Q8 Write out the general term for the sequence ). 09 (a) By inspection determine the following sequence is strictly increasing or strictly decreasing b) Prove your answer in partla) Q10 Determine the limits of the following sequences given the general term: (b) Q-Inn + 1) - In(n) I) Qe-ne- 11 Determine what the following series converges to using...
just number 8 please and show work thank you
Determine whether the series converges or diverges, and explain why. If it is a geometric series that converges, find the sum. 1 6) n-3 n=1 MoMo Mo 7) n= 5 ani 8) n+4 an
show all work
| 2n-1) 2. Consider the sequence |(n+1)! a) is the sequence monotone increasing or monotone decreasing or neither? b) Find upper and lower bounds for the sequence. c) Does the sequence converge or diverge? (Explain) 3. Determine if the series converges or diverges. If it converges, find its sum. => [-1-] c) Ë ?j? – 1-1 j? +1
Question 18 For the following questions, you must show all work to receive full credit. Not yet answered Points out of 30.00 1 Vx da (a) Evaluate Jo 1 + x3 P Flag question poo e dx (b) Evaluate the improper integral Jo e2x + 1 er integrat (cº de toi cel Evaluate , * con lo) sin(as) de (c) Evaluate os? (x) sin? (x) dx (d) Evaluate the dx lo (e) Show work to calculate/justify why the following integral...
Determine if the following series converge or diverge, using any
of the methods we discussed in class. Be sure and state which
test/method you used, and show all relevant steps for full credit.
If a series converges, be sure and state/show if it converges
absolutely or conditionally. Answers without work shown may be
given no credit
2-1 (g) Σ n(ln(n))3
2-1 (g) Σ n(ln(n))3
(5 pts) Consider the series 8 W arctan(n) n6 n=1 (a) For all n > 1, 0 < arctan(x) < x2 Give the best possible bound. And so 0 < an arctan(n) = <bn n/(2n^6) Since 0 < an <bn, which of the following test should we apply? A. The integral test B. The comparison test. C. The nth term test for divergence D. The ratio test E. The limit comparison test F. The p-series test G. The root test...
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